Speed of sound and/or density measurement using acoustic impedance

ABSTRACT

Apparatus is provided featuring a signal processor or signal processing module configured at least to: receive signaling containing information about a radiation impedance of a piston vibrating a process medium, including a fluid or slurry; and determine a speed of sound or density measurement related to the process medium, based at least partly on the signaling received. The signal processor or signal processing module may determine a speed of sound measurement related to the process medium, based on at least partly on the density of the process medium, including where the density of the process medium is known, assumed or determined by the signal processor or signal processing module, or determine a density measurement related to the process medium, based on at least partly on the speed at which sound travels in the process medium, including where the speed of sound of the process medium is known, assumed or determined by the signal processor or signal processing module.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims benefit to provisional patent application Ser.No. 61/620,788, filed 5 Apr. 2012 (WFVA/CiDRA file nos. 712-2.380),entitled “Speed of sound and/or density measurement using acousticimpedance;” and Ser. No. 61/658,628, filed 12 Jun. 2012 (WFVA/CiDRA filenos. 712-2.390), entitled “Determination of the density of a processflow fluid/slurry using both speed of sound and fluid compressibilitymeasurements,” which are both incorporated by reference in theirentirety.

This application also relates to U.S. patent application Ser. No.13/583,062, filed 12 Sep. 2012 (WFVA/CiDRA file nos.712-2.338-1/CCS-0033, 35,40, and 45-49), which is a national stageapplication corresponding to PCT/US11/27731, which are both incorporatedin their entirety by reference, and assigned to the assignee of thepresent application.

This application also relates to Patent Cooperation Treaty applicationserial no. PCT/US12/60822, filed 18 Oct. 2012 (712-2.365 (CCS-0075),claiming benefit to U.S. provisional patent application Ser. No.61/548,549, filed 18 Oct. 2011, which are both incorporated in theirentirety by reference, and assigned to the assignee of the presentapplication.

BACKGROUND OF THE INVENTION 1. Field of Invention

The present invention relates to a technique for real time airmeasurement in wet concrete; more particularly related to a techniquefor real time air measurement in wet concrete in order to control theamount of air in a mixture of concrete.

2. Description of Related Art

The measurement of density in process industries is important in a widerange of applications, including: chemical processing, refining, foodprocessing, mining, dredging, and waste water processing. In manyapplications, the current technology of choice is a Nuclear Densitymeter. Due to the use of an active nuclear source (gamma ray) in thesemeters, these devices require a certain degree of regulatory oversight,including training, specialized personnel, and handling/disposalprocedures etc. Consequently, there is a push in many industries toreplace Nuclear Density Measurement with Non-Nuclear devices.

The assignee of the present application has developed a platformtechnology, sold under the product name, SONARtrac™, that measures thespeed at which sound travels within a fluid or slurry (e.g., the speedat which compressional waves propagate through a fluid). The techniquehas proven to provide a very robust measurement and has been applied toa range of applications in industrial processing, particularly where theentrained air and/or gas measurements are of interest.

While the measurement of the speed of sound (SOS) in a fluid can be usedto give a measure of the constituents of a flow (for example oil-waterin an oil production application), it's direct use for densitymeasurement is limited unless there is a priori knowledge of the densityof the component constituents (or “phases”) of the process flow stream.

Speed of Sound Measurement

Moreover, in the prior art, a number of techniques have been developedthat rely on measuring the speed of sound through a material flowingthrough a pipe. These techniques include using a known SONAR-based GVFmeter, density meter and potential mass fraction meter. In thesetechniques, a passive array-based sensor system is used to detect thepresence and speed of acoustics traveling through the materialscontained within a pipe. These materials can range from single phasehomogeneous fluids to two or three phase mixtures of gases, liquids andsolids. Since the measurements system is passive it relies on acousticsproduced externally for the measurement. These acoustics can often timescome from other equipment in or attached to the pipe such as pumps orvalves.

Moreover, in these known techniques many times chemical additives may beadded, including to a known flotation process in mineral processing toaid in the separation of the ore. The chemicals, known as frothers,control the efficiency of the flotation process by enhancing theproperties of the air bubbles. An important parameter in flotationoptimization is the gas volume fraction within a flotation cell. U.S.Pat. No. 7,426,852 B1, which is hereby incorporated by reference in itsentirety, discloses approaches to make this measurement, and discloses atechnique whereby the speed of sound in the aerated fluid is locallymeasured using a waveguide (pipe) in conjunction with a SONAR-basedarray. From the speed of sound measurement, the gas volume fraction canbe calculated.

By way of example, see other techniques related to the use of suchSONAR-based technology disclosed, e.g., in whole or in part in U.S. Pat.Nos. 7,165,464; 7,134,320; 7,363,800; 7,367,240; and 7,343,820, all ofwhich are incorporated by reference in their entirety.

Moreover, air is a very important component of many materials, such asviscous liquids, slurries or solids, and mixtures of concrete. Inparticular, air is a critical ingredient when making concrete because itgreatly improves the cured product damage resistance to freeze/thawcycles. Chemical admixtures are typically added during mixing to create,entrain and stabilize billions of small air bubbles within the concrete.However, the entrained air in concrete has the disadvantage of reducingstrength so there is always a trade-off to determine the right amount ofair for a particular application. In order to optimize certainproperties of concrete, it is important to control the entrained airpresent in the wet (pre-cured) concrete. Current methods for measuringthe entrained air can sometimes be slow and cumbersome and additionallycan be prone to errors. Moreover, the durability of concrete may beenhanced by entraining air in the fresh mix. This is typicallyaccomplished through the addition of chemical admixes. The amount ofadmix is usually determined through empirical data by which a “recipe”is determined. Too little entrained air reduces the durability of theconcrete and too much entrained air decreases the strength. Typicallythe nominal range of entrained air is about 5-8% by volume, and can bebetween 4% and 6% entrained air by volume in many applications. Afterbeing mixed in the mixer box, the concrete is then released to thetruck. The level of entrained air is then measured upon delivery of themix to the site. The draw back of the current method is that the mix iscommitted to the truck without verification of that the air level in themix is within specification.

The aforementioned U.S. patent application Ser. No. 13/583,062(WFVA/CiDRA file nos. 712-2.338-1/CCS-0033, 35,40, and 45-49) disclosestechniques for real time air measurement in wet concrete in concrete arotary drum mixer, including implementing sensing technology in a hatchcover, as well as a stationary concrete mixer using an integrated soundsource and two receivers, using SONAR-based technology developed andpatented by the assignee of the instant patent application as well asthat application.

SUMMARY OF THE INVENTION

The present invention sets forth new technique, including methods andapparatuses, to measure the density and/or speed of sound of a fluid orslurry by measuring an acoustic reaction force on a vibrating piston.Both of these parameters can be useful measurements for many industrialprocesses. For example, in the concrete manufacturing industry, knowingthe speed of sound of wet concrete can be used to determine the volumepercent of air contained in the concrete. The density can be used todetermine that the proper mix was used.

CCS-0084

Speed of Sound and/or Density Measurement Using Acoustic Impedance

By way of example, and according to some embodiments, the presentinvention may include or take the form of apparatus featuring a signalprocessor or signal processing module configured at least to:

-   -   receive signaling containing information about a radiation        impedance of a piston vibrating a process medium, including a        fluid or slurry; and    -   determine a speed of sound or density measurement related to the        process medium, based at least partly on the signaling received.

According to some embodiments, the present invention may include one ormore of the following features:

The signal processor or signal processing module may be configured todetermine a speed of sound measurement related to the process medium,based on at least partly on the density of the process medium, includingwhere the density of the process medium is known, assumed or determinedby the signal processor or signal processing module.

The signal processor or signal processing module may be configured todetermine a density measurement related to the process medium, based onat least partly on the speed at which sound travels in the processmedium, including where the speed of sound of the process medium isknown, assumed or determined by the signal processor or signalprocessing module.

The signal processor or signal processing module may be configured todetermine a volume percentage of air contained in the process medium,based at least partly on a speed of sound measurement determined.

The signal processor or signal processing module may be configured todetermine a speed of sound measurement in the process medium based atleast partly on a time of flight measurement technique.

The signal processor or signal processing module may be configured todetermine a proper mix or mixture of the process medium based at leastpartly on a density measurement related to the process medium.

The signal processor or signal processing module may be configured todetermine the proper mix or mixture of a wet concrete, based at leastpartly determining the density of a wet concrete.

The signal processor or signal processing module may be configured todetermine the density of the wet concrete, based at least partly onknowing, assuming or determining the speed of sound in the wet concrete.

The signal processor or signal processing module may be configured todetermine the speed of sound in the wet concrete based at least partlyon a time of flight measurement technique.

The slurry may be a wet concrete, pulp slurry, or food processingslurry.

The signalling received containing information about the radiationimpedance may contain information about a motion of the piston beingmeasured and a force required to drive the piston also being measured.

The motion may include the velocity, acceleration or displacement of aharmonically vibrating piston.

The signal processor or signal processing module may be configured todetermine the radiation impedance, based at least partly a ratio of theforce exerted by a harmonically vibrating piston on the process mediumto a velocity of the harmonically vibrating piston.

The apparatus may include a transducer apparatus or device configuredwith the piston vibrating the process medium and acting as an acousticsource.

The transducer apparatus or device may include a stationary rigid wallsurrounding the piston so as to generate a pressure field in ahemisphere forward of the stationary rigid wall.

The transducer apparatus or device may include a motion-sensingtransducer having a linear coil and a linear coil actuator or processorconfigured to measure the motion of the piston, and/or either an inlineforce-sensing transducer configured to measure the force required todrive the piston, or a measuring device configured to measure theelectrical power driving the piston.

The transducer apparatus or device may include a combination of a linearvoice coil and a linear voice coil actuator configured to drive thepiston, including where the current going to and driving the linear coilis proportional to the force generated.

The signal processor or signal processing module may be configured toprovide corresponding signal containing information about the speed ofsound or density measurement related to the process medium.

According to some embodiments, the present invention may take the formof a method featuring steps for receiving in a signal processor orsignal processing module signaling containing information about aradiation impedance of a piston vibrating a process medium, including afluid or slurry; and determining in the signal processor or signalprocessing module a speed of sound or density measurement related to theprocess medium, based at least partly on the signaling received.

According to some embodiments, the present invention may take the formof apparatus featuring means for receiving signaling containinginformation about a radiation impedance of a piston vibrating a processmedium, including a fluid or slurry; and means for determining a speedof sound or density measurement related to the process medium, based atleast partly on the signaling received.

CCS-0084 and 95

According to some embodiments, the signaling may contain informationabout a compressibility (1/β) of the process medium and a speed at whichsound travels within the process medium; and the signal processor orsignal processing module may be configured to determine a densitymeasurement of the process medium, based at least partly on thesignaling received, and consistent with that set forth below. Moreover,according to some further embodiments, the present invention set forthabove may include one or more of the features set forth below alone orin combination, including processing mediums in process flow pipes orsome other processing containers.

CCS-0095 Determination of Density of a Process Flow Fluid/Slurry UsingBoth Speed of Sound and Fluid Compressibility Measurements

According to some embodiments, the present invention may take the formof apparatus featuring a signal processor or signal processing moduleconfigured at least to:

-   -   receive signaling containing information about a compressibility        (1/β) of a process flow medium, including a fluid or slurry,        flowing in a process flow pipe, and about a speed at which sound        travels within the process flow medium; and    -   determine a density of the process flow medium, based at least        partly on the signaling received.

According to some embodiments, the present invention may include one ormore of the following features:

The signal processor or signal processing module may be configured todetermine the compressibility (1/β) of the process flow medium based atleast partly first signaling received from a ported unit configured inthe process flow pipe to measure the compressibility (1/β) of theprocess flow medium.

The apparatus may include the ported unit that measures thecompressibility (1/β) of the process flow medium.

The ported unit may be configured as a compressibility probe thatcomprises a piston that is used to provide a localized compressibilitytest of the process flow medium.

The piston may be driven by an actuator and pushed into the process flowmedium, including in an oscillatory fashion, or pulsed at a certainrepetition rate.

The motion/displacement of the piston may be substantially smaller inrelation to the scale of the pipe, including a displacement of about100-300 microns.

The first signaling may contain information about a localcompressibility of the process flow medium, based at least partly on thefact that, as the piston is pushed into the process flow medium in arepetitive mode, the process flow medium surrounding the compressibilityprobe does not effectively have time to respond; and the compressibilityprobe may be configured to determine a dynamic response, including aforce to move the piston a given distance, of the piston based at leastpartly on the first signaling received.

The compressibility probe may be configured to measure: the force on thepiston, and either the displacement or acceleration of the piston, wherethe acceleration of the piston is related back to the motion of thepiston.

The compressibility probe may be configured to determine the localcompressibility of the process flow medium, based at least partly oncorresponding measurements providing a measure of a spring constant, orspring rate, of the system, which comprises the stiffness of amechanical assembly supporting the piston and the stiffness of theprocess flow medium local to the piston, so that if the stiffness of themechanical assembly is known, including through calibration without abacking fluid, the local compressibility of the process flow medium canbe inferred from the corresponding measurements made.

The signal processor or signal processing module may be configured todetermine the compressibility of the process flow medium based at leastpartly second signaling received from a SONAR-based array that measuresthe speed at which sound travels within the process flow medium,including based at least partly on the speed at which compressionalwaves propagate through the process flow medium.

The apparatus may include the SONAR-based array.

The signal processor or signal processing module may be configured todetermine the density ρ of the process flow medium, based at leastpartly on the equation:

${\rho = \frac{\beta}{c^{2}}},$

wherec is speed of sound speed at which sound travels within the process flowmedium andβ is the bulk modulus of the process flow medium.

The SONAR-based array may be configured to determine a volumetric flowrate of the process flow medium flowing in the process pipe.

The signal processor or signal processing module may be configured todetermine a mass flow of the process flow medium in the process pipe,based at least partly on the combination of the volumetric flowmeasurement and a density measurement.

The signal processor or signal processing module may be configured toprovide corresponding signal containing information about the density ofthe process flow medium.

According to some embodiments, the present invention may take the formof a method featuring steps for receiving in a signal processor orsignal processing module signaling containing information about acompressibility (1/β) of a process flow medium, including a fluid orslurry, flowing in a process pipe, and about a speed at which soundtravels within the process flow medium; and determining in the signalprocessor or signal processing module a density of the process flowmedium, based at least partly on the signaling received.

According to some embodiments, the present invention may take the formof apparatus featuring means for receiving signaling containinginformation about a compressibility (1/β) of a process flow medium,including a fluid or slurry, flowing in a process pipe, and about aspeed at which sound travels within the process flow medium; and meansfor determining a density of the process flow medium, based at leastpartly on the signaling received.

Moreover, according to some embodiments, the signal processor or signalprocessing module may be configured with at least one processor and atleast one memory including computer program code, the at least onememory and computer program code configured, with the at least oneprocessor, to cause the apparatus at least to receive the signaling anddetermine the parameter related to the process medium, based at leastpartly on the signaling received.

The present invention makes important contributions to this currentstate of the art for real time speed of sound and density measurementsof a process medium, including providing important contributions to thiscurrent state of the art for air measurement in wet concrete. Forexample, the present application may provide new means, techniques orways of real time measurement of entrained air in wet concrete,consistent with and further building on that set forth in theaforementioned U.S. patent application Ser. No. 13/583,062, filed 12Sep. 2012 (WFVA/CiDRA file nos. 712-2.338-1/CCS-0033, 35,40, and 45-49).

BRIEF DESCRIPTION OF THE DRAWING

The drawing includes FIGS. 1-2 b, which are not necessarily drawn toscale, as follows:

FIG. 1a is a block diagram of a signal processor or signal processingmodule, according to some embodiments of the present invention.

FIG. 1b is an illustration of a transducer apparatus or device arrangedin relation to a process medium container or piping, according to someembodiments of the present invention.

FIG. 1c shows a graph of the force to acceleration versus the volumetricair content (%).

FIG. 1d is a plot is the ratio of the measured current to accelerationversus the volumetric air content.

FIG. 2a is a block diagram of a signal processor or signal processingmodule, according to some embodiments of the present invention.

FIG. 2b is a diagram of a process pipe having a device for providing acompressibility measurement and a SONAR-based array for a speed of soundmeasurement, according to some embodiments of the present invention.

DETAILED DESCRIPTION OF BEST MODE OF THE INVENTION CCS-0084: FIGS. 1 a-1d

FIG. 1a shows apparatus generally indicated as 10 according to someembodiments of the present invention. The apparatus 10 may include asignal processor or signal processing module 10 a configured to receivesignaling containing information about a radiation impedance of a pistonvibrating a process medium, including a fluid or slurry; and determine aspeed of sound or density measurement related to the process medium,based at least partly on the signaling received.

The signal processor or signal processing module 10 a may also beconfigured to providing corresponding signaling containing informationabout the speed of sound or density measurement related to the processmedium.

By way of example, a person skilled in the art would appreciate thatradiation impedance may be understood to mean, or may be defined as, theratio of the force a radiator exerts on a process flow medium to thevelocity of the radiator.

FIG. 1 b: The Vibrating Piston

By way of example, and according to some embodiments of the presentinvention, FIG. 1b shows a transducer apparatus or device generallyindicated by arrow 20 arranged in relation to a process medium containeror piping 22 having a process medium contained or flowing therein. InFIG. 1b , the transducer apparatus or device 20 includes a vibratingpiston 20 a surrounded by a stationary rigid wall 20 b that will act asan acoustic source, generating a pressure field in the hemisphereforward of the wall 20 b. By way of example, assuming the pistonvibration is time harmonic the velocity of the piston face 20 a′ isdescribed by the equation:

u _(p)(t)=u ₀ e ^(jωt),  (1)

where:

-   -   u_(p)=piston face velocity,    -   u₀=velocity amplitude,    -   ω=angular frequency and    -   t=time.

Alternatively, the motion of the piston 20 a could be described byeither its acceleration or displacement with:

$\begin{matrix}{{a_{0} = {u_{0}\omega}}{{or}\text{:}}} & (2) \\{A_{0} = \frac{u_{0}}{\omega}} & (3)\end{matrix}$

where:

-   -   a₀=the acceleration amplitude and    -   A₀=the displacement amplitude.

The total force that acts on the face of a time-harmonic vibratingbaffled piston in contact with an acoustic fluid or medium 24 is givenby:

F=πa ² P _(avg) =πa ² u ₀ Z _(p)  (4)

where:

-   -   a=piston radius,    -   P_(avg)=average pressure amplitude on the face of the piston,    -   u₀=piston velocity amplitude, and    -   Z_(p)=piston radiation impedance.

The radiation impedance of the piston 20 a is given by:

$\begin{matrix}{Z_{p} = {\rho_{0}{c_{0}\left\lbrack {1 - \frac{2\; {J_{1}\left( {2\; {ka}} \right)}}{2\; {ka}} + {i\frac{2\; {K_{1}\left( {2\; {ka}} \right)}}{2\; {ka}}}} \right\rbrack}}} & (5)\end{matrix}$

where:

-   -   ρ₀=medium density,    -   c₀=medium sound velocity,    -   k=wavenumber=ω₀.    -   J₁=Bessel function of the first kind, and    -   K₁=Struve function.

Note that Z_(p) is a function of density, sound velocity frequency andpiston radius only. At large values of 2 ka (piston diameter largecompared to the acoustic wavelength) equation (5) reduces to:

Z _(p)=ρ₀ c ₀  (6)

Sound Velocity and/or Density Measurement

In operation, and by way of example, the vibrating piston 20 a may beinstalled such that it is in contact with the process medium or fluid 24(or slurry in the case of wet concrete, pulp slurry or food processingslurry, for example) of interest. The piston 20 a may be vibratedharmonically as give in equation (1). In FIG. 1b , by way of example,O-rings 20 c may be arranged between the vibrating piston 20 a and therigid stationary wall 20 b. In addition, a linear coil 20 d may beconfigured to respond to a linear coil actuator signaling along line 20f provided by a linear coil actuator and/or processor 20 e for vibratingthe piston 20 a. The motion of the piston 20 a (velocity, accelerationor displacement) may be measured with the appropriate transducer, e.g.,by the linear coil actuator and/or processor 20 e. In addition, theforce required to drive the piston 20 a may also be measured. Thismeasuring could be done by an inline force transducer that may include,e.g., the combination of the linear coil 20 d and linear coil actuatorand/or processor 20 e, or by measuring the electrical driving power. Inparticular, if the piston 20 a is driven with the combination of thelinear coil 20 d and the linear voice coil actuator 20 e, the currentgoing or provided to the linear coil 20 d is proportional to the forcegenerated.

Rearranging equation (4) to solve for the radiation impedance gives:

$\begin{matrix}{Z_{p} = \frac{F}{\pi \; a^{2}u_{0}}} & (7)\end{matrix}$

For a known radius piston vibrating at a known frequency, inserting themeasured force less any dynamic forces, F, and the velocity amplitude,u₀, or alternatively a₀ or A₀ substituting equations (2) and (3), theradiation impedance may be determined. Once the radiation impedance isknown, the quantity ρ₀c₀ can be found from equation (5). If the densityis known or assumed the sound velocity can be determined. Alternatively,if the sound velocity is known or assumed, the density can bedetermined. By way of example, and as a person skilled in the art wouldappreciate, the density or speed of sound of the process medium may beknown or assumed, e.g., based at least partly on the process mediumcoming from, or form part of, known batch processing techniques havingknown or assumed characteristics, and/or from tables or chartscontaining information about known process medium. The scope of theinvention is not intended to how the density or speed of sound of theprocess medium may be known or assumed. One possibility is to use thetime of flight measurement (e.g., see patent application Ser. No.13/583,062 (WFVA/CiDRA file nos. 712-2.338-1/CCS-0033, 35,40, and 45-49assigned to the assignee of the present application) to determine soundvelocity then use the present method to determine density.

In FIG. 1b , linear coil actuator and/or processor may be configured toprovide the signaling containing information about the radiationimpedance of the piston 20 a vibrating the process medium 24 along line20 g, e.g., to the signal processor or processing module 10 a in FIG. 1a. In operation, the signal processor or signal processing module 10 amay also be configured to provide corresponding signal containinginformation about the speed of sound or density measurement related tothe process medium 24.

Transducer apparatus or device like element 20 are known in the art; andthe scope of the invention is not intended to be limited to anyparticular type or kind of transducer apparatus or device, and isintended to include other types or kinds of transducer apparatus ordevices both now known and later developed in the future.

The scope of the invention is not intended to be limited to anyparticular type or kind of container or piping or the process mediumcontained or flowing therein, and is intended to include other types orkinds of containers or pipings or process mediums contained or flowingtherein, both now known and later developed in the future.

Calibration

Since the dynamic forces of a vibrating piston, such as piston 20 a, canbe significant relative to the acoustic reaction force calibration maybe required. By way of example, this could be done by simply vibratingthe piston 20 a in an environment which has low acoustic coupling tomeasure and then subtract the dynamic piston forces. For example, if thefluid or medium of interest was wet concrete or other water-basedslurry, the piston 20 a could be operated in air. The acoustic reactionforce in air would be very low so the dynamic forces could be measuredthen subtracted from the total force measured when making themeasurement in wet concrete or other water-based slurry.

Calibration techniques are known in the art; and the scope of theinvention is not intended to be limited to any particular type or kindof calibration technique, and is intended to include other types orkinds of calibration techniques both now known and later developed inthe future.

Model

By way of example, equation (4) was modeled, e.g., using MATLAB, and thefollowing curve shows the change in the force to acceleration ratio fora 0.95 inch diameter piston vibrating in aerated water at 330 Hz. Notethe relationship between air content and sound velocity was determinedusing a simplified Wood's equation:

$\begin{matrix}{c_{0} = \sqrt{\frac{P_{a}}{{\varphi \left( {1 - \varphi} \right)}\rho_{0}}}} & (8)\end{matrix}$

where:

-   -   P_(a)=absolute pressure, and    -   ϕ=air content or gas void fraction (GVF).

FIG. 1c shows a graph of the force to acceleration versus the volumetricair content (%). Note that at a constant driving force the accelerationincreases as the air content is increased. This is due to a reduction inthe effective “spring force” of the water due to the compressibility ofthe air bubbles.

Modeling software or program are known in the art; and the scope of theinvention is not intended to be limited to any particular type or kindof modeling software or program, and is intended to include other typesor kinds of modeling software or program both now known and laterdeveloped in the future.

Test Data

By way of example, in a test procedure, the piston 20 a driven by thecombination of the voice coil 20 d and the linear voice coil actuator 20e was installed in a vertical water column. An accelerometer wasattached to the actuator/piston assembly and measured during the test.Also, the current provided by the linear coil actuator 20 e to the voicecoil 20 d which is proportional to the total driving force was measuredthough an analog output from a voice coil amplifier (not shown). Forthis simple test, no calibration was completed therefore the forcemeasured includes both the acoustic reaction force and dynamic forces.

Varying amounts of air was bubbled through the vertical water columnwith the change in height measured to determine the percent air bubblesby volume:

$\begin{matrix}{\varphi = \frac{\Delta \; h}{{\Delta \; h} + H}} & (9)\end{matrix}$

Where:

-   -   Δh=difference between aerated water column height and water only        height and    -   H=water only height

The amount of air bubbles in the water will have a significant effect onthe sound velocity of the water with only a minor change in density.

FIG. 1d is a plot is the ratio of the measured current to accelerationversus the volumetric air content:

Note that this simple test shows the same trend as the aforementionedmodel, that at a constant driving force as the air content increases theacceleration also increases.

CCS-0095: FIGS. 2 a-2 b

FIG. 2a shows apparatus generally indicated as 50 according to someembodiments of the present invention. The apparatus 50 may include asignal processor 50 a that receives signaling containing informationabout a compressibility (1/β) of a process flow medium; and determines adensity of the process flow medium, based at least partly on thesignaling received.

The signal processor or signal processing module 50 a may also beconfigured to providing corresponding signaling containing informationabout the speed of sound or density measurement related to the processmedium.

The objective of this part of the present invention is to provide adetermination of the density of the process flow medium or fluid. Thespeed of sound, c, in a process flow medium or fluid is related to thebulk modulus, β (1/compressibility) and density, ρ, of the process flowmedium or fluid via:

$c = \sqrt{\frac{\beta}{\rho}}$

Gas entrainment will significantly lower the sound speed in a processflow medium or fluid as the compressibility (1/β) of the fluid increasesdramatically with gas void fraction (GVF).

The density of the process flow medium or fluid is thus given by;

$\rho = \frac{\beta}{c^{2}}$

Consequently, a measurement of the speed of sound, combined with adetermination of the process flow medium or fluid compressibility can beused to give a measure of the process flow medium or fluid density.

Devices for the measurement of fluid compressibility are known in theart, and the scope of the invention is not intended to be limited to anyparticular type or kind thereof either now known or later developed inthe future. By way of example, FIG. 1b shows a piston arrangement thatmay be used, or may be adapted to be used without undue experimentation,to provide the measurement of fluid compressibility, consistent withthat disclosed herein.

FIG. 2 b: An Exemplary Embodiment

By way of example, and according to some embodiments of the presentinvention, FIG. 2b illustrates and sets forth an approach or apparatusgenerally indicated as 30, which uses a combined SONARtrac™ orSONAR-based SoS measurement array 32 with a ported unit 34 (aka“airmeter”) designed to measure the compressibility (1/β) of a processmedium or fluid 36 flowing and/or contained in a container or processflow piping 40. (SONARtrac™ is the name of a SONAR-based product that isknown in the art and developed by the assignee of the presentapplication, e.g., that may be configured in relation to a process pipein order to provide a speed of sound measurement of the medium flowingtherein, e.g., consistent with that set forth below in relation to theSONAR-based technology.) SONARtrac™ or SONAR-based SoS measurement array32 may be configured with bands 32 a, 32 b, 32 c, . . . , 32 i, asshown, although the scope of the invention is not intended to be limitedto any particular number of bands.

This ported unit 34 may take the form or include a compressibility probethat utilizes a piston like element 20 a (see FIG. 1b ) that is used toprovide a localized compressibility test of the fluid. To make thismeasurement, the piston may be driven by an actuator like elements 20 dand 20 e in FIG. 1b ) to ‘push’ it into the process flow medium orfluid. This may be done in an oscillatory fashion, or pulsed at acertain repetition rate. The motion/displacement of the piston istypically understood to be very small in relation to the scale of thepipe 40, etc., comprising typically a displacement of 100-300 microns.As the piston is pushed into the process flow medium or fluid in arepetitive mode, the process flow medium or fluid surrounding thecompressibility probe does not have time to respond, and the dynamicresponse (force to move the piston a given distance) of the piston isdetermined by the local compressibility of the process flow medium orfluid. To measure this, the force on the piston is measured along withthe displacement of the piston (alternatively, the acceleration of thepiston can be measured and related back to the piston motion), e.g.,consistent with that set forth above in relation to FIGS. 1a to 1d .This gives a measure of the ‘spring” constant, or “spring” rate, of thesystem, which comprises the stiffness of the mechanical assemblysupporting the piston and the stiffness of the fluid local to thepiston. If the stiffness of the mechanical assembly is known (e.g.,through calibration without a backing fluid), the compressibility of theprocess flow medium or fluid can be inferred from the overallmeasurement made.

Once the compressibility (1/β) of the process flow medium or fluid andthe speed (c) at which sound travels in the process flow medium or fluidare determined, the density (ρ) of the process flow medium or fluid maybe provided by the following relationship:

$\rho = \frac{\beta}{c^{2}}$

The SONARtrac™ array 32 may also be used to determine the volumetricflow rate of the medium or fluid flowing in the pipe 40. The combinationof a volumetric flow measurement and a density measurement, as providedby this invention, may be further utilized to provide the mass flow ofthe medium or fluid flowing in the pipe 40.

Ported units like element 34 and or compressibility probes are known inthe art. The scope of the invention is not intended to be limited to anyparticular type or kind of ported units and/or compressibility probes,and is intended to include other types or kinds of ported units and/orcompressibility probes both now known and later developed in the future.

The Signal Processor or Signal Processing Module

By way of example, and consistent with that described herein, thefunctionality of the signal processor or signal processing module 10 a,50 a, and/or 20 e may be implemented using hardware, software, firmware,or a combination thereof, although the scope of the invention is notintended to be limited to any particular embodiment thereof. In atypical software implementation, the signal processor would be one ormore microprocessor-based architectures having a microprocessor, arandom access memory (RAM), a read only memory (ROM), input/outputdevices and control, data and address buses connecting the same. Aperson skilled in the art would be able to program such amicroprocessor-based implementation to perform the functionality setforth in the signal processor or signal processing module 10 a, such aseither determining a speed of sound or density measurement related tothe process medium, or a density of the process flow medium, based atleast partly on the signaling received, as well as other functionalitydescribed herein without undue experimentation. The scope of theinvention is not intended to be limited to any particular implementationusing technology now known or later developed in the future. Moreover,the scope of the invention is intended to include the signal processorbeing a stand alone module, as shown, or in the combination with othercircuitry for implementing another module.

It is also understood that the apparatus 10 or 50 may include one ormore other modules, components, circuits, or circuitry 10 b or 50 b forimplementing other functionality associated with the apparatus that doesnot form part of the underlying invention, and thus is not described indetail herein. By way of example, the one or more other modules,components, circuits, or circuitry 10 b or 50 b may include randomaccess memory, read only memory, input/output circuitry and data andaddress buses for use in relation to implementing the signal processingfunctionality of the signal processor 10 a or 50 a, or devices orcomponents related to mixing or pouring concrete in a ready-mix concretetruck or adding chemical additives, etc.

The SONAR-Based Technology

SONAR-based technology is known in the art, including that developed bythe assignee of the present application. By way of example, theSONAR-based entrained air meter or arrays may take the form ofSONAR-based meter, metering or array technology disclosed, e.g., inwhole or in part, in U.S. Pat. Nos. 7,165,464; 7,134,320; 7,363,800;7,367,240; and 7,343,820, all of which are incorporated by reference intheir entirety.

A. Introduction

The known SONAR-based technology includes a gas volume fraction meter(known in the industry as a GVF-100 meter) that directly measures thelow-frequency sonic speed (SOS) of the liquid or slurry flowing througha pipe. By way of example, the SONAR-based entrained air meter may takethe form of SONAR-based meter and metering technology disclosed, e.g.,in whole or in part, in U.S. Pat. Nos. 7,165,464; 7,134,320; 7,363,800;7,367,240; and 7,343,820, all of which are incorporated by reference intheir entirety. Using the Wood's equation, the volume percent of any gasbubbles or the gas void fraction (GVF) is determined from the measuredSOS. The Wood's equation requires several other inputs in addition tothe measured SOS of liquid/gas mixture. One of the additional inputs inparticular, the static pressure of the liquid/gas mixture, can be veryimportant for an accurate calculation of the GVF. To a first order, ifthe static pressure used for the GVF calculation differs from the actualstatic pressure of the liquid/gas mixture, then the calculated GVF maytypically differ from the actual GVF by 1% as well. For example:

-   -   Static Pressure used for GVF calculation=20 psia    -   Calculated GVF=2%    -   Actual Static Pressure=22 psia    -   Static pressure error=22/20−1=0.1=10%    -   Actual GVF=2%×(1+0.1)=2.2% (10% error)

In many cases, the static pressure of the liquid/gas mixture isavailable through existing process plant instrumentation. In this case,the measured static pressure can be input directly to the GVFcalculation through, e.g., an analog 4-20 mA input in the SONAR-basedgas volume fraction transmitter (e.g. GVF-100 meter). Alternatively, acorrection to the calculated GVF can be made in the customer DCS for anyvariation from the fixed pressure that was used to originally calculatethe GVF.

In other cases, a static pressure transmitter can be added to theprocess plant specifically to measure the static pressure used for theGVF calculation. The measured pressure can either be input to theSONAR-based gas volume fraction transmitter (e.g., GVF-1200) orcorrection made in the DCS as described above.

Occasionally, a the SONAR-based gas volume fraction meter (e.g.,GVF-100) may be installed at a location in the process that does notalready have a static pressure gauge installed and it is impractical toadd one. This could be a location where there is no existing penetrationof the pipe to sense the pressure and it would be difficult or expensiveto add one. In the case, where a traditional pressure gauge is notavailable and it is desirable to have a static pressure measurement thefollowing description of a non-intrusive (clamp on) static pressuremeasurement could be used.

B. Description

For example, according to some embodiments of the present invention, anon-intrusive static pressure measurement may be sensed usingtraditional strain gauges integrated into the sensor band of theSONAR-based gas volume fraction sensing technology (e.g. the knownGVF-100 meter). As the static pressure inside the pipe changes, thestatic strain on the outside of the pipe also changes. Using a thin-wallassumption for simplicity (t/R<10, where t is the wall thickness and Ris the radius) the tangential strain due to internal static pressure is:

${ɛ = \frac{pR}{Et}},$

where ε is the tangential strain (inch/inch), R is the radius (inch), Eis the modulus of elasticity (lb/in2) and t is the wall thickness(inch). The radius, wall thickness and modulus is generally known, or atleast constant and so if the tangential strain is measured the internalstatic pressure can be determined.

By way of example, according to one embodiment of the present invention,four strain gauges could be arranged on the sensor band of theSONAR-based gas volume fraction sensing technology (e.g. the knownGVF-100 meter) in a Wheatstone bridge configuration to maximize strainsensitivity and minimize temperature effects. In this case, thesensitivity assuming a strain gauge factor of 2, the sensitivity isapproximately 13 μV/με, where V is volts. Assuming a 4-inch schedule 40carbon steel pipe, a one psi change in pressure would cause a 4 μVchange in Wheatstone bridge output. This sensitivity would increase forlarger diameter pipes which generally have a smaller t/R.

The integrated pressure gauge could be calibrated in-situ for bestaccuracy, but it may be sufficient to normalize the pressure output to acertain know state then use the tangential strain formula above withknow pipe parameters to calculate the pressure from the measured strain.

The SONAR-based entrained air meter, metering or array technology areknown in the art and may take the form of a SONAR-based meter disclosed,e.g., in whole or in part in U.S. Pat. Nos. 7,165,464; 7,134,320;7,363,800; 7,367,240; and 7,343,820, all of which are incorporated byreference in their entirety. The SONAR-based entrained air meter,metering or array technology is capable of providing a variety ofinformation, including the pure phase density and pure phase liquidsound speed is known, such that the GVF can be determined by measuringthe speed of sound and then applying the Woods Equation.

Determining the GVF by measuring the speed of sound can provide fast anaccurate data. Also the SOS measurement system can be very flexible andcan easily be configured to work with different concrete containers andsample particular volumes.

Consistent with that described above, the SONAR-based entrained airmeter, metering or array technology are known in the art and may takethe form of a SONAR-based meter disclosed, e.g., in whole or in part inU.S. Pat. Nos. 7,165,464; 7,134,320; 7,363,800; 7,367,240; and7,343,820.

Other Known Technology

The acoustic transmitter, the acoustic receiver or receiver probe and/ortransponders are devices that are known in the art, and the scope of theinvention is not intended to be limited to any particular type or kindeither now known or later developed in the future.

The Scope of the Invention

While the invention has been described with reference to an exemplaryembodiment, it will be understood by those skilled in the art thatvarious changes may be made and equivalents may be substituted forelements thereof without departing from the scope of the invention. Inaddition, may modifications may be made to adapt a particular situationor material to the teachings of the invention without departing from theessential scope thereof. Therefore, it is intended that the inventionnot be limited to the particular embodiment(s) disclosed herein as thebest mode contemplated for carrying out this invention.

1-37. (canceled) CCS-0095
 38. Apparatus comprising: a signal processoror signal processing module configured at least to: receive signalingcontaining information about a compressibility (1/β) of a process flowmedium, including a fluid or slurry, flowing in a process flow pipe, andabout a speed at which sound travels within the process flow medium; anddetermine corresponding signaling containing information about a densityof the process flow medium, based at least partly on the signalingreceived.
 39. Apparatus according to claim 38, wherein the signalprocessor or signal processing module is configured to determine thecompressibility (1/β) of the process flow medium based at least partlyfirst signaling received from a ported unit configured in the processflow pipe to measure the compressibility (1/β) of the process flowmedium.
 40. Apparatus according to claim 39, wherein the apparatuscomprises the ported unit that measures the compressibility (1/β) of theprocess flow medium.
 41. Apparatus according to claim 39, wherein theported unit is configured as a compressibility probe that comprises apiston that is used to provide a localized compressibility test of theprocess flow medium.
 42. Apparatus according to claim 41, wherein thepiston is driven by an actuator and pushed into the process flow medium,including in an oscillatory fashion, or pulsed at a certain repetitionrate.
 43. Apparatus according to claim 42, wherein themotion/displacement of the piston is substantially smaller in relationto the scale of the pipe, including a displacement of about 100-300microns.
 44. Apparatus according to claim 42, wherein the firstsignaling contains information about a local compressibility of theprocess flow medium, based at least partly on the fact that, as thepiston is pushed into the process flow medium in a repetitive mode, theprocess flow medium surrounding the compressibility probe does noteffectively have time to respond; and the compressibility probe isconfigured to determine a dynamic response, including a force to movethe piston a given distance, of the piston based at least partly on thefirst signaling received.
 45. Apparatus according to claim 44, whereinthe compressibility probe is configured to measure: the force on thepiston, and either the displacement or acceleration of the piston, wherethe acceleration of the piston is related back to the motion of thepiston.
 46. Apparatus according to claim 45, wherein the compressibilityprobe is configured to determine the local compressibility of theprocess flow medium, based at least partly on corresponding measurementsproviding a measure of a spring constant, or spring rate, of the system,which comprises the stiffness of a mechanical assembly supporting thepiston and the stiffness of the process flow medium local to the piston,so that if the stiffness of the mechanical assembly is known, includingthrough calibration without a backing fluid, the local compressibilityof the process flow medium can be inferred from the correspondingmeasurements made.
 47. Apparatus according to claim 38, wherein thesignal processor or signal processing module is configured to determinethe compressibility of the process flow medium based at least partlysecond signaling received from a SONAR-based array that measures thespeed at which sound travels within the process flow medium, includingbased at least partly on the speed at which compressional wavespropagate through the process flow medium.
 48. Apparatus according toclaim 47, wherein the apparatus comprises the SONAR-based array. 49.Apparatus according to claim 38, wherein the signal processor or signalprocessing module is configured to determine the density ρ of theprocess flow medium, based at least partly on the equation:${\rho = \frac{\beta}{c^{2}}},$ where c is speed of sound speed at whichsound travels within the process flow medium and β is the bulk modulusof the process flow medium.
 50. Apparatus according to claim 38, whereinthe SONAR-based array is configured to determine a volumetric flow rateof the process flow medium flowing in the process flow pipe. 51.Apparatus according to claim 50, wherein the signal processor or signalprocessing module is configured to determine a mass flow of the processflow medium in the process pipe, based at least partly on thecombination of the volumetric flow measurement and a densitymeasurement.
 52. Apparatus according to claim 38, wherein the signalprocessor or signal processing module is configured with at least oneprocessor and at least one memory including computer program code, theat least one memory and computer program code configured, with the atleast one processor, to cause the apparatus at least to receive thesignaling and determine the corresponding signaling containinginformation about the density of the process flow medium, based at leastpartly on the signaling received.
 53. Apparatus according to claim 38,wherein the signal processor or signal processing module is configuredto provide the corresponding signal containing information about thedensity of the process flow medium.
 54. A method comprising: receivingin a signal processor or signal processing module signaling containinginformation about a compressibility (1/β) of a process flow medium,including a fluid or slurry, flowing in a process flow pipe, and about aspeed at which sound travels within the process flow medium; anddetermining in the signal processor or signal processing modulecorresponding signaling containing information about a density of theprocess flow medium, based at least partly on the signaling received.55. Apparatus comprising: means for receiving signaling containinginformation about a compressibility (1/β) of a process flow medium,including a fluid or slurry, flowing in a process flow pipe, and about aspeed at which sound travels within the process flow medium; and meansfor determining corresponding signaling containing information about adensity of the process flow medium, based at least partly on thesignaling received.